What is the solution to this system of equations?
10
8
6
y = x + 6
y = -0.5x + 3
4 2
2
O A. (-1,2)
OB. (-2,4)
O C. (2, -1)
O D. (4,-2)

What Is The Solution To This System Of Equations?1086y = X + 6y = -0.5x + 34 22O A. (-1,2)OB. (-2,4)O

Answers

Answer 1

Answer:

it is B

Step-by-step explanation:

Look at where both of the lines meet from there you can find that (-2,4) is the solution

Answer 2

The solution to the system of equations is (x, y) = (-2, 4).

Option B is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can solve this system of equations by setting the expressions for y equal to each other and solving for x, then substituting the value of x into one of the equations to find the corresponding value of y.

y = x + 6 ...(1)

y = -0.5x + 3 ...(2)

Setting equations (1) and (2) equal to each other gives:

x + 6 = -0.5x + 3

Solving for x, we get:

x + 0.5x = 3 - 6

1.5x = -3

x = -2

Substituting x = -2 into equation (1), we get:

y = -2 + 6

y = 4

Therefore,

The solution to the system of equations is (x, y) = (-2, 4).

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7


Related Questions

Please look at the picture I’m timed !!

Answers

Answer:

[tex]k = 2.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{7.6}{2} = \frac{9.5}{k}[/tex]

Step 2: Solve for k

Cross-multiply:                    [tex]7.6k = 2(9.5)[/tex]Multiply:                               [tex]7.6k = 19[/tex]Isolate k:                              [tex]k = 2.5[/tex]

Answer:

The answer is K+2.5

Step-by-step explanation:

find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!


Slope=____ y-intercept=____

Answers

Make it y = mx + b
Subtract x
2y = -x - 6
Divide by 2
Y = -1/2x - 3
Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -1/2
y intercept: -3

PLEASE HELP ITS URGENT
What are the domain and the range of this graph?

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∈ℝ∣∣x≤0} and the range is {y∈ℝ∣∣y≥0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≤0}.

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Answers

Answer:

The domain is {x∣∣x∈ℝ} and the range is {y∈ℝ∣∣y≥0}.

Step-by-step explanation:

(-25) devided (-5).

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

(-25)/(-5)

step 2

(-25)/(-5)  divide the equation by 5

answer

=5

Answer: 5

Step-by-step explanation:

Multiplying or dividing a negative by a negative results in a positive.

[tex](-10)/(-2)=5[/tex]

Multiplying or dividing a negative by a positive results in a negative.

[tex](-10)/(2)=-5[/tex]

Multiplying or dividing a positive by a negative results in a negative.

[tex](10)/(-2)=-5[/tex]

Multiplying or dividing a positive by a positive results in a positive.

[tex](10)/(2)=5[/tex]

Thus, because -25 and -5 are both negatives, the answer must be positive.

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer: 7 pounds

Step-by-step explanation: 1 3/4×4=7

Heres 20p for whoever solves this

Two times x is 16 more than y. The sum of x and two times y is 18. Write two equations and graph to find the value of y

Answers

Answer:

i dont remember how to answer this so heres some info from the graph.

the y-intercept of the first equation is 8.

the y-intercept of the second equation is 18.

the equations cross at (10,4)

Answer:

y = 4

Step-by-step explanation:

Solve for c.

2(c +1) = 10

Answers

Answer:

c = 4

Step-by-step explanation:

[tex]2(c+1) = 10[/tex]

Lets divide both the sides by 2.

[tex]=> \frac{2 (c+1)}{2} = \frac{10}{2}[/tex]

[tex]=> c + 1 = 5[/tex]

Now , lets substract 1 on both the sides.

[tex]=> c + 1 - 1 = 5 - 1[/tex]

[tex]=> c = 4[/tex]

The solution to the equation 2(c + 1) = 10 is c = 4.

We have,

To solve for c in equation 2(c + 1) = 10, we will apply the distributive property and simplify the equation step by step.

Let's solve it:

Distribute the 2 to the terms inside the parentheses:

2c + 2 = 10

Move the constant term (2) to the right side by subtracting 2 from both sides of the equation:

2c + 2 - 2 = 10 - 2

Simplifying further:

2c = 8

Divide both sides of the equation by 2 to solve for c:

(2c) / 2 = 8 / 2

Simplifying further:

c = 4

Therefore,

The solution to the equation 2(c + 1) = 10 is c = 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants to find the total cost for a day at the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Mariana's equation?

Answers

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

[tex]c = 1.50x + 12[/tex]                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function​ ​y=3x+2​ ​​is Choose... the y-intercept of the function represented in the graph. A graph with a line through point (0, 2) and point (2, 6)

Answers

Answer:

less than

Step-by-step explanation:

Answer:

A graph with a line through point (0, 2) and point (2, 6)

*EASY* SOLVE WITH STEPS *WILL MARK BRAINLIEST*

Answers

Answer:

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Subtract 4y on both sides:                    x = 10 - 4y

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                    3(10 - 4y) - 5y = 13Distribute 3:                         30 - 12y - 5y = 13Combine like terms:           30 - 17y = 13Isolate y terms:                   -17y = -17Isolate y:                              y = 1

Step 5: Solve for x

Define equation:                    x + 4y = 10Substitute in y:                       x + 4(1) = 10Multiply:                                  x + 4 = 10Isolate x:                                 x = 6

Answer:

(6,1)    x=6 and y=1        

Step-by-step explanation:

EASY we can use Elimination or Substitution process

We are going to solve by

Elimination process

Subtract each other

(3x-5y=13)

(x+4y=10)

3x-5y=13;x+4y=10

To solve this multiply (x-4y=10) by 3 to get rid of the x

3x-12y=30

now u can subtract both

3x-12y=30 minus

3x-5y=13

17y=17

Divide both sides by 17

y=1

Now we have y lets plug it in to find x

x+4(1)=10

x+4=10

subtract 4 from both sides

x=6

x=6 and y=1

Find the slope of the graph​

Answers

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

WAIT i think we’re doing the same assignment

:)Merry christmas eve may you guys please help me with this :)

Answers

the answer is to this is c

It’s 4 trust me
I just looked it up to make sure

what is the prime factorization for 42

Answers

Answer:

2x3x7

Step-by-step explanation:

please answer/ HELP ME I am using ALL of my points to ask this !!! Write the equation for the quadratic function in the graph.

Answers

Answer:

C matches the graph the best

Step-by-step explanation:

A pair of jeans cost $200, but is on sale for 40% off. You still have to be 7%
tax. What is your final cost for the jeans?
$128.40
O
$120
$111.60
280

Answers

Answer:

$128.40

Step-by-step explanation:

200 × 0.4 = 80

200 - 80 = 120

120 × 0.07 = 8.4

120 + 8.4 = 128.4

Answer:

$128.40

Step-by-step explanation:

1. Find the cost after the discount.

Multiply the original cost by the discount percentage. This is the amount that was taken off of the original price.

$200 x 40% = $80

Subtract the discount from the original price.

$200 - $80 = $120.

2. Calculate the tax.

Tax is 7% of the final cost.  Multiply the final cost by the tax rate. This determines how much tax was added.

$120 x 7% = $8.40

Add the tax amount to the discounted price.

$120 + $8.40 = $128.40

The final cost is $128.40.

Select all true statements.
A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
C) Dilation's of a segment must be congruent to the original segment.
D) Dilation's of a circle must be congruent to the original circle.

Answers

Answer:

A) Dilation's of an angle must be congruent to the original angle.

B) Dilation's if a triangle must be congruent to the original triangle.

Step-by-step explanation:

Dilation is one of rigid transformations in which the size of an angle or object is either increased or decreased, to produce an image, with respect to a given factor. In this process, the dimensions of the object are affected but its orientation remains the same.

When a figure is dilated, the new figure is congruent to the original figure. Also, when an angle undergoes dilation, its measure is not affected. Thus, it would be congruent to the original angle.

Miya flips a coin and rolls a 6-sided number cube labled 1-6 and records tge outcome. About how many times is she likely to flip heads and roll a 3 out of 48 trials

Answers

Answer:

4 times

Step-by-step explanation:

Sample space :

6 sided cube = (1, 2, 3, 4, 5, 6)

Coin = (H, T)

Probability = required outcome / Total possible outcomes

Probability of head (H) = P(H) = 1 /2 = 0.5

Probability of 3 = P(3) = 1 /6 = 0.166666

Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333

Hence, expected number of times this is likely to occur in 48 tries :

0.083333 * 48 = 4

Mark made 23 out of 45 free throws. What is his average number of free throws made? Express your answer as a decimal using bar notation if necessary.

Answers

Answer:

0.51

Step-by-step explanation:

Total free throws taken = 45

Number of successful free throws = 23

Average number of free throws made (x) :

Successful free throws / Numbe rod free throws taken

23 / 45 = 0.511

x = 0.51

Need Help ASAP

Nora is 12 years away from being a century old. How old is Nora?

Answers

Answer:

88 years old

Step-by-step explanation:

A century is 100 years.

100 - 12 = 88

D is 13. What is the length of the line.

Answers

Answer:

D

Step-by-step explanation:

You have to use pythagorean theorem to solve this.

Answer:

D

Step-by-step explanation:

use pytherogream theory

sides, 5 and 12

pytherogream triple 5, 12, 13

What is the value of x?

Answers

Answer:

120

Step-by-step explanation:

gl!!

Ya'll I'm desperate please answer this I really need to get it right.

Answers

Answer:

a. Indep. = x, and dependent equals f(x)

b. x impacts f(x)

f(-4)= -11

Step-by-step explanation:

hope this helped

How would you solve X+5^2=16 using the rewrite method I only have 10 min left help

Answers

Answer:

x=-9

Step-by-step explanation:

x+5^2=16

x+25=16

x=-9

Answer :

x + 5² = 16

x + 25 = 16

x = 16-25

x = -9 is the answwr

Hope it helped

3 multiplied by what gives you 0.375

Answers

Answer:

0.125

Step-by-step explanation:

3xp=0.375

p=0.125

please help me i have a c i need help desperately lol

Answers

Answer:

positive and find the distance..

Step-by-step explanation:

Answer:

1. Find the distance from the number to 0 on the number line

2. positive

Step-by-step explanation:

Answers
Of this picture that I just uploaded

Answers

Answer:

D

Step-by-step explanation:

An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.

Answers

Answer:

800 > x + 375

x < 425

Step-by-step explanation:

800 > x + 375

425 > x

This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started the new recycling plan. p = 12w The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Answers

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week


To go bowling, it costs $2 to rent shoes and then $3.25 for each game bowled. Which of the following functions gives the total cost to bowl g games?

Answers

Answer:

2+3.25x

Step-by-step explanation:

Create an algebraic equation for the word problem below.

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answers

Answer:

p = 5 + 2d

Step-by-step explanation:

Let the day number be d and the price after d days be p, then required equation is:

p = 5 + 2d

Other Questions
Given: FG is an median. What can you conclude? Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?Include A.M. or P.M. in your answer. HELP, I have to turn this in tomorrow ... is this correct?? Can anyone answer this geometry question help pls!! what can individual do to further public health? Read lines 23 and 24 of the poem. You are so big my boy! And I laugh and stand on my toes to be even bigger. These lines are included to suggest that the speaker wishes he could be taller than he is,is embarrassed by the name Abuelita calls him,thinks Abuelita is very amusing, orenjoys making Abuelita feel proud of him A sports team is ordering a new banner to hang over the entrance of their stadium. The banner will be a right triangle where one leg is 33 feet and the other leg is 56 feet. All three edges of the banner will be lined with a ribbon that costs $0.50 per foot. How much will the ribbon cost? I need help please!! Anyone? If you know it can you please help mee if you maybe know it please comment thanks I appreciate you all I WILL GIVE YOU BRAINLIEST FOR THE CORRECT ANSWERS1. 25x^(2)-35x+7y-y^(2)2. a^2+8a+16b-4b^23. 9a^2-4b^2-3a+2bFactor completely How did the table turn in the favor of Allies and Central powers faced defeat in WWI? THIS _________________ HAPPENS AUTOMATICALLY WITH A CELL IF ITS __________________ IS PERMEABLE TO THE ________________ AND IF THERE IS A DIFFERENCE IN _______________________ OF THE MOLECULES ON EITHER ___________ OF THE MEMBRANE. THIS IS __________________ ____________________. CAN SOMEONE PLEASE HELP ME WITH THIS PLEASE ?!!!!!!!! Can we all just freaking stop talking about politics, religion, and all that jazz for just a second so I can relax?! that's all I'm asking for A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points. Imagine you are interviewing a famous person. What questions would you ask? What answers do you think they would give?In Spanish, write four complete questions. In addition, write the answers you think your famous person would give. Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)?A. x + 2y = 1B. x - 2y = -1C. x - 2y = 1D. x + 2y = -1 An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.15. Let x be the number of trustworthy FBI agents tested until someone fails the test. What is the probability that the first false-positive will occur when the third person is tested Omg please help me its due super soon I beg you Ill give 100 points and brainliestPlease write it in your own words and a summary please its super short A grieving person who has reached the last stage of loss is likely to deal with the loss byOA. being withdrawnB. feeling helplessC. being demanding and critical0D. acting in constructive ways